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Sergeu [11.5K]
3 years ago
5

Please help me find the length!!

Mathematics
1 answer:
galben [10]3 years ago
8 0
So, this would be a common circle question. 

First, 20 degrees from a circle's curcumference would be 20/360, which is 1/18.

This means that the length of the arc of AB should be 1/18 of the circumference.


The formula for the circumference it 2pi*r

2*pi*27=54pi

54pi* 1/18= 6 pi
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Solve. Find all solutions in [0,2).5 secx cotx+5 secx+ cotx+1=0
Dmitrij [34]
\begin{gathered} 5sec(x)cot(x)+5sec(x)+cot(x)+1=0 \\ Factoring \\ (cot(x)+1)(5sec(x)+1)=0 \\ cot(x)+1=0 \\ cot(x)=-1 \\ x=cot^{-1}(1) \\ x=\frac{3\pi}{4} \\  \\ 5sec(x)+1=0 \\ 5sec(x)=-1 \\ sec(x)=\frac{-1}{5},\text{ there is no solution} \\ Hence \\ All\text{ solution are }\frac{3\pi}{4}+\pi n,\text{ where n=1,2,3...} \\  \\  \end{gathered}

5 0
1 year ago
In isosceles triangle ABC, AC=BC=20, the measure of angle A=68, and CD is the altitude to side AB. What is CD to the nearest 10t
antiseptic1488 [7]

Answer:

Step-by-step explanation:

Comment

The way the diagram looks when it is drawn is that you are going to need the sine function to solve for the side opposite which is CD.

Formula

Sin(A) = Sin(68 = opposite / hypotenuse     Substitute values.

Solution

sin(68) = altitude (side opposite) / 20       multiply both sides by 20

20*sin(68) = 20* altitude / 20                     substitute for sin(68)

20* 0.9272 = altitude

altitude = 18.5

Answer: 18.5 to the nearest tenth

3 0
2 years ago
Karl set out to Alaska on his truck.
tester [92]

Answer:

<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>

Step-by-step explanation:

As we can see in the graph, the total distance that the truck can travel with 500 liters of fuel is ≅ 825 kilometres.

For answering the question properly, we use the Rule of Three Simple, this way:

Kilometres                Liters of fuel

825                              500

100                                 x

Solving for x, we have:

825 * x = 500 * 100

825x = 50,000

x = 50,000/825

x = 60.6 liters of fuel (61 rounding to the next whole)

x ≅ 61 liters of fuel

<u>The track consumes ≅ 61 liters of fuel every 100 kilometres</u>

6 0
3 years ago
Read 2 more answers
A recipe for a pie calls for 2/4
zhannawk [14.2K]

Answer: 14/20=7/10 cup

Step-by-step explanation:

2/4 is equal to 10/20

1/5 is equal to 4/20

10/20+4/20= 14/20

7 0
2 years ago
Please help me thank you
QveST [7]
<<<<<<>>>>>>
F(5)=-15
F(-2)=13
F(3)=-7
F(0)=5
F(-5)=25

3 0
2 years ago
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